Write the equation of the line that is perpendicular to the original equation and passes through the point
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Answer:
The equation of the line tangent to the graph of f at x = -1 is .
Step-by-step explanation:
From Analytical Geometry we know that the tangent line is a first order polynomial, whose form is defined by:
(1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- Intercept, dimensionless.
The slope of the tangent line at is:
(2)
If we know that ,
and
, then the intercept of the equation of the line is:
The equation of the line tangent to the graph of f at x = -1 is .